Practice Final 1

1. Consider the Emergency Room example (p508 and the slides from lectures 21 and 22).  Consider a patient that gets sent to the diagnosis unit before sent to surgery.
a) What is the expected time until they enter surgery?
b) What is the smallest number of staff (adding those in the diagnosis and surgery units) so that the expected time until they enter surgery is no more than 30 min.

2. Consider pooling n identical queues (identical arrival and service processes).  This reduces expected wait times for all customers.  True or False.

3. Consider the Yield Management example (section 15.7 and the slides from lecture 25).  Use the output in the sheet "RiskSim Summary 1" of the spreadsheet "table 15.9 & figure 15.5 - simulating 1000 flights.xls" to generate a 95% confidence interval for the expected net profit.

4. The decision for how many t-shirts to have on hand to sell at Dillo Day can be addressed using which inventory model: Newsvendor, Base-stock, or Economic Order Quantity?

5. The paper consumption per day of the copier in the IEMS mailroom is approximated by the random variable Poisson(200).  Suppose there is free next day delivery paper.  How much paper should be on hand every morning so that the probability of running out is 1%.

6. Consider the catalog sales MDP (section 9.12 and the slides from lecture 18).  What is the transition probability from state 4 to state 2 given the action "send catalog"?

7. Turn the following optimization problem into an LP:

min 5x +3y + |z|
s.t. x+y+z = 5,
	x >= 0 y >= 0